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Finding the Third Proportional to 99,568 and 157,737

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Solution

The third proportional to 99,568 and 157,737 is: 249,889.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,568 : 157,737 = 157,737 : x
  2. Step 2: Convert to fraction form
    99,568/157,737 = 157,737/x
  3. Step 3: Cross multiply
    99,568x = 157,737 × 157,737
  4. Step 4: Simplify right side
    99,568x = 24,880,961,169
  5. Step 5: Solve for x
    x = 24,880,961,169/99,568
  6. Step 6: Final answer
    x = 249,889.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.